1.

I.7x + 6y + 4z = 122 II.4x+5y + 3z = 88 III.9x+2y + z = 78

Answer»

`X lt y = z `
` x le y lt z `
` x lt y gt z `
` x = y gt z `

Solution :` 7x+6y+4z = 122` …(i)
` 4x+5y+3z = 88` …(II)
` 9x + 2y + z = 78` …(iii)
By equation (iii) `XX` 3 - equation(ii),
`{:(27x+6y+3z = 234),( 4x + 5y + 3z = " "88),(-" "-" "-""-),(bar(""23x+y=146)):}""` ....(iv)
By equation (iii) ` xx 4 -` equation(i),
`{:(36x+8y+4z=312),(7x+6y+4z=122),(-" "-" "-""-),(bar(""29x+2y=190)):}""` ....(v)
By equation (iv) ` xx 2 -` equation(v),
`{:(46x+2y=292),(29x+2y=190),(-" "-" "-),(bar( ""17x=102)):}""`...(iv)
` rArrx = 6`
From equation (iv),
` 23 xx 6 +y = 146`
` rArry = 146 - 138 = 8`
From equation(iii),
` 9 xx 6 + 2 xx 8 + z = 78`
` rArr54+ 16 - z = 78`
` rArrz = 78 - 70 = 8`
Clearly, ` x lt y = z `


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